Find the LCM of 466, 906, 398, 788 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 466, 906, 398, 788. So, keep reading to learn more.
Given numbers are 466,906,398,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 466,906,398,788 is 16551349788.
Find LCM of 466,906,398,788 with Prime Factorization
2 | 466, 906, 398, 788 |
233, 453, 199, 394 |
Multiply the prime numbers at the bottom and the left side.
2 x 233 x 453 x 199 x 394 = 16551349788
Therefore, the lowest common multiple of 466,906,398,788 is 16551349788.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
466 x 906 x 398 x 788 = 132410798304
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
466 : 1, 2, 233, 466
906 : 1, 2, 3, 6, 151, 302, 453, 906
398 : 1, 2, 199, 398
788 : 1, 2, 4, 197, 394, 788
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,906,398,788, is 2.
Now, the common factors can be found like this.
466:2x 233
906:2x 3x 151
398:2x 199
788:2x 2x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 132410798304/(2x4)
LCM = 132410798304/8
LCM = 16551349788
Thus, we can understand that the LCM of 466,906,398,788 is 16551349788.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 466, 906, 398, 788?
Answer: LCM of 466, 906, 398, 788 is 16551349788.
2. How to calculate the LCM of 466, 906, 398, 788?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 466, 906, 398, 788.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.